Practice with The Distributive Property - Warm-Up, Core Practice, and Challenge

Sep 23, 2026

Uploaded by Cipher

Practice worksheet for using the distributive property to break numbers apart and multiply, with clear step-by-step work prompts. Part A focuses on breaking apart using tens; Part B requires solving each product two ways using different break-aparts; Part C has missing pieces before completing each product. A challenge problem asks for total napkins from meal boxes and napkins per box, plus a short explanation of how breaking apart helps multiplication.

LanguageEnglish

CategoryExam

FormatPDF

Pages4

Reading Time10 min

AccessFree to download

Part A—Warm-Up (Break Apart Using Tens)

Part B—Core Practice (Break Apart in Two Ways)

Part C—Missing Pieces

Challenge Problem (Show Your Thinking)

Name: _________________________________________ Practice with The Distributive Property Directions: Use the distributive property to break apart and multiply. Show your work. (No calculators. ) Part A—Warm-Up (Break Apart Using Tens) (1–6) 1. 16 × 7 Break apart: (10 × 7) + (6 × 7) = ________ + ________ = ________ 2. 24 × 5 Break apart: (20 × 5) + (4 × 5) = ________ + ________ = ________ 3. 38 × 4 Break apart: (30 × 4) + (8 × 4) = ________ + ________ = ________ 4. 19 × 6 Break apart: (10 × 6) + (9 × 6) = ________ + ________ = ________ 5. 52 × 3 Break apart: (50 × 3) + (2 × 3) = ________ + ________ = ________ 6. 27 × 8 Break apart: (20 × 8) + (7 × 8) = ________ + ________ = ________ 1 Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at ](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)[www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com) Part B—Core Practice (Break Apart in Two Ways) (7–12) Directions: Solve each problem twice using two different break-aparts. 7. 34 × 6 Way 1: (30 × 6) + (4 × 6) = ________ + ________ = ________ Way 2: (40 × 6) − (6 × 6) = ________ − ________ = ________ 8. 46 × 5 Way 1: (40 × 5) + (6 × 5) = ________ + ________ = ________ Way 2: (50 × 5) − (4 × 5) = ________ − ________ = ________ 9. 27 × 8 Way 1: (20 × 8) + (7 × 8) = ________ + ________ = ________ Way 2: (30 × 8) − (3 × 8) = ________ − ________ = ________ 10.58 × 4 Way 1: (50 × 4) + (8 × 4) = ________ + ________ = ________ Way 2: (60 × 4) − (2 × 4) = ________ − ________ = ________ 11.73 × 3 Way 1: (70 × 3) + (3 × 3) = ________ + ________ = ________ Way 2: (80 × 3) − (7 × 3) = ________ − ________ = ________ 12.39 × 7 Way 1: (30 × 7) + (9 × 7) = ________ + ________ = ________ Way 2: (40 × 7) − (1 × 7) = ________ − ________ = ________ 2 Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at ](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)[www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com) Part C—Missing Pieces (13–16) Directions: Fill in the blanks, then find the product. 13.26 × 7 (20 × 7) + (___ × 7) = ________ + ________ = ________ 14.64 × 3 (___ × 3) + (4 × 3) = ________ + ________ = ________ 15.37 × 8 (40 × 8) − (___ × 8) = ________ − ________ = ________ 16.59 × 6 (60 × 6) − (___ × 6) = ________ − ________ = ________ Challenge Problem (Show Your Thinking) 17.A food truck packs 36 meal boxes. Each box has 14 napkins. Use the distributive property to find the total number of napkins. Work: (30 × 14) + (6 × 14) = + = napkins One sentence: Explain how breaking apart helped you multiply: Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at ](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)[www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com) 3 Answer Key Part A—Warm-Up (1–6) 1. (10×7)+(6×7)=70+42= 112 2. (20×5)+(4×5)=100+20= 120 3. (30×4)+(8×4)=120+32= 152 4. (10×6)+(9×6)=60+54= 114 5. (50×3)+(2×3)=150+6= 156 6. (20×8)+(7×8)=160+56=216 Part B—Core Practice (7–12) 7. Way 1: (30×6)+(4×6)=180+24=204 Way 2: (40×6)−(6×6)=240−36=204 8. Way 1: (40×5)+(6×5)=200+30=230 Way 2: (50×5)−(4×5)=250−20=230 9. Way 1: (20×8)+(7×8)=160+56=216 Way 2: (30×8)−(3×8)=240−24=216 10.Way 1: (50×4)+(8×4)=200+32=232 Way 2: (60×4)−(2×4)=240−8=232 11.Way 1: (70×3)+(3×3)=210+9=219 Way 2: (80×3)−(7×3)=240−21=219 12.Way 1: (30×7)+(9×7)=210+63=273 Way 2: (40×7)−(1×7)=280−7=273 Part C—Missing Pieces (13–16) 13. (20×7)+(6 ×7)=140+42= 182 14. (60 ×3)+(4×3)=180+12= 192 15. (40×8)−(3 ×8)=320−24=296 16. (60×6)−(1 ×6)=360−6=354 Challenge Problem (17)(30×14)+(6×14)=420+84=504 napkins One sentence (sample): Breaking apart made the multiplication easier because I could multiply tens first

FAQs

What should you do before multiplying in this worksheet?

Use the distributive property to break apart the numbers, then multiply each part. Show your work for the break-aparts and the final addition or subtraction.

How do you solve the Part B problems?

Solve each problem twice using two different break-aparts. Each way should show the multiplication of the parts and the combined result.

What is the challenge problem about?

A food truck packs 36 meal boxes with 14 napkins in each box. Use the distributive property to find the total number of napkins and explain how breaking apart made multiplication easier.

Sep 23, 2026

Uploaded by Cipher